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Simplifying u2 + -16uv + 64v2 = 0 Reorder the terms: -16uv + u2 + 64v2 = 0 Solving -16uv + u2 + 64v2 = 0 Solving for variable 'u'. Factor a trinomial. (u + -8v)(u + -8v) = 0Subproblem 1
Set the factor '(u + -8v)' equal to zero and attempt to solve: Simplifying u + -8v = 0 Solving u + -8v = 0 Move all terms containing u to the left, all other terms to the right. Add '8v' to each side of the equation. u + -8v + 8v = 0 + 8v Combine like terms: -8v + 8v = 0 u + 0 = 0 + 8v u = 0 + 8v Remove the zero: u = 8v Simplifying u = 8vSubproblem 2
Set the factor '(u + -8v)' equal to zero and attempt to solve: Simplifying u + -8v = 0 Solving u + -8v = 0 Move all terms containing u to the left, all other terms to the right. Add '8v' to each side of the equation. u + -8v + 8v = 0 + 8v Combine like terms: -8v + 8v = 0 u + 0 = 0 + 8v u = 0 + 8v Remove the zero: u = 8v Simplifying u = 8vSolution
u = {8v, 8v}
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